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Proof step 72 from proof Extsimple (previous step)

i1 / gcd(i1, j1) = i2 / gcd(i2, j2), j1 / gcd(i1, j1) = j2 / gcd(i2, j2), 0 < j1, 0 < j2, 0 < i1, i2 < 0 ⊦ j2 = 0, j1 = 0, i1 = 0, i2 = 0

User applied rule cut formula

And obtained the following new goals

Proof step 73:
i2 / gcd(i2, j2) < 0, i1 / gcd(i1, j1) = i2 / gcd(i2, j2), j1 / gcd(i1, j1) = j2 / gcd(i2, j2), 0 < j1, 0 < j2, 0 < i1, i2 < 0 ⊦ j2 = 0, j1 = 0, i1 = 0, i2 = 0

Rule argument

fma: i2 / gcd(i2, j2) < 0

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i0 < 0 → ¬ 0 ≤ i0 / gcd(i, i0);% ⊦ gcd(i, j) = gcd(j, i); Used formulas: i2 / gcd(i2, j2) < 0